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Finding the Third Proportional to 210,030 and 460,887

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Solution

The third proportional to 210,030 and 460,887 is: 1,011,364.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,030 : 460,887 = 460,887 : x
  2. Step 2: Convert to fraction form
    210,030/460,887 = 460,887/x
  3. Step 3: Cross multiply
    210,030x = 460,887 × 460,887
  4. Step 4: Simplify right side
    210,030x = 212,416,826,769
  5. Step 5: Solve for x
    x = 212,416,826,769/210,030
  6. Step 6: Final answer
    x = 1,011,364.22

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.